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Finding the Fourth Proportional to 2,970.74, 4,099.54 and 1,961.22

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Solution

The fourth proportional to 2,970.74, 4,099.54 and 1,961.22 is: 2,706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.74 : 4,099.54 = 1,961.22 : x
  2. Step 2: Convert to fraction form
    2,970.74/4,099.54 = 1,961.22/x
  3. Step 3: Cross multiply
    2,970.74x = 4,099.54 × 1,961.22
  4. Step 4: Simplify right side
    2,970.74x = 8,040,099.84
  5. Step 5: Solve for x
    x = 8,040,099.84/2,970.74
  6. Step 6: Final answer
    x = 2,706.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.